The Law Of Syllogism, which is also called Reasoning by Transitivity, is basically if a = b and b = c, then a = c, which is also the transitive property. Hence the alternate name. It can be used for mathematical deductions and is mainly used in the unit of logic statements, such as conditional and inverse statements. Here is an example:
If it is raining today, then I will wear my raincoat.
If I wear my raincoat today, then I will wear my boots.
When we use the Law of Syllogism, we get:
If it is raining today, then I will wear my boots.
Hope this helps and have a nice day!
Answer:
The volume of the larger rectangular prism is 
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> the volume of the larger rectangular prism
y-----> the volume of the smaller rectangular prism

In this problem we have
---> the scale factor is equal to the ratio of its corresponding sides

substitute and solve for x


The distance will be given by the equation;
D=

D=

D=

D=

D=13 units
I believe it would be $4,399.15 because if you use the formula I=P*R*T
P=62,845
R=0.07 or 7%
T=1 year period
So overall your equation is 62845*0.07*1=$4,399.15
Now at this point the interest is added onto the principal amount to figure out some new amount after one year so:
62845.00+4399.15=$67,244.15
Answer:
Therefore the solution set is (x , y) = ( 2 , 1 )
Step-by-step explanation:
Given:
...............Equation ( 1 )
...............Equation ( 2 )
...............Equation ( 3 )
To Find:
x = ?
y = ?
Solution:
Using Substitution Method we will have
Substitute above ' y ' Equation 3 in Equation 1 we get

Now Substitute ' x ' in Equation 3 we get

Therefore the solution set is (x , y) = ( 2 , 1 )